MATHS 332 : Real Analysis
2022 Semester Two (1225) (15 POINTS)
This paper aims to give a broad introduction to the theory of Real Analysis in one variable.
It will cover properties of the real numbers, sequences and series, limits, continuous functions, differentiation, the Riemann integral, sequences of functions and infinite series.
Capabilities Developed in this Course
|Capability 1:||Disciplinary Knowledge and Practice|
|Capability 2:||Critical Thinking|
|Capability 3:||Solution Seeking|
|Capability 4:||Communication and Engagement|
|Capability 5:||Independence and Integrity|
- Demonstrate ability to construct rigorous mathematical proofs. (Capability 1)
- Demonstrate and apply the theory to solve problems. (Capability 3)
- Evaluate mathematical proof for correctness. (Capability 2)
- Communicate mathematical ideas in written form. (Capability 4)
- Independently develop approaches to unfamiliar mathematical problems. (Capability 5)
|Final Exam||50%||Individual Examination|
|Assessment Type||Learning Outcome Addressed|
A minimum of 35% in the exam is required to pass the course.
The use of calculators in the test and exam is not permitted.
This course is a standard 15 point course and students are expected to spend 10 hours per week involved in each 15 point course that they are enrolled in.
For this course, you can expect 36 hours of lectures, a one hour tutorial per week, 3 hours of reading and thinking about the content and 3 hours of work on assignments and/or test preparation per week.
Attendance is expected at scheduled activities.
Lectures will be available as recordings. Other learning activities will not be available as recordings.
Attendance on campus is required for the [test/exam].
The activities for the course are scheduled as a standard weekly timetable.
Course materials are made available in a learning and collaboration tool called Canvas which also includes reading lists and lecture recordings (where available).
Please remember that the recording of any class on a personal device requires the permission of the instructor.
During the course Class Representatives in each class can take feedback to the staff responsible for the course and staff-student consultative committees.
At the end of the course students will be invited to give feedback on the course and teaching through a tool called SET or Qualtrics. The lecturers and course co-ordinators will consider all feedback.
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If your personal circumstances significantly affect your performance, or preparation, for an exam or eligible written test, refer to the University’s aegrotat or compassionate consideration page https://www.auckland.ac.nz/en/students/academic-information/exams-and-final-results/during-exams/aegrotat-and-compassionate-consideration.html.
This should be done as soon as possible and no later than seven days after the affected test or exam date.
In the event of an unexpected disruption, we undertake to maintain the continuity and standard of teaching and learning in all your courses throughout the year. If there are unexpected disruptions the University has contingency plans to ensure that access to your course continues and course assessment continues to meet the principles of the University’s assessment policy. Some adjustments may need to be made in emergencies. You will be kept fully informed by your course co-ordinator/director, and if disruption occurs you should refer to the university website for information about how to proceed.
The delivery mode may change depending on COVID restrictions. Any changes will be communicated through Canvas.
Student Charter and Responsibilities
The Student Charter assumes and acknowledges that students are active participants in the learning process and that they have responsibilities to the institution and the international community of scholars. The University expects that students will act at all times in a way that demonstrates respect for the rights of other students and staff so that the learning environment is both safe and productive. For further information visit Student Charter https://www.auckland.ac.nz/en/students/forms-policies-and-guidelines/student-policies-and-guidelines/student-charter.html.
Elements of this outline may be subject to change. The latest information about the course will be available for enrolled students in Canvas.
In this course students may be asked to submit coursework assessments digitally. The University reserves the right to conduct scheduled tests and examinations for this course online or through the use of computers or other electronic devices. Where tests or examinations are conducted online remote invigilation arrangements may be used. In exceptional circumstances changes to elements of this course may be necessary at short notice. Students enrolled in this course will be informed of any such changes and the reasons for them, as soon as possible, through Canvas.